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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-sbimedh | Unicode version |
Description: A strengthening of sbiedh 1761 (same proof). (Contributed by BJ, 16-Dec-2019.) |
Ref | Expression |
---|---|
bj-sbimedh.1 |
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bj-sbimedh.2 |
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bj-sbimedh.3 |
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Ref | Expression |
---|---|
bj-sbimedh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb1 1740 |
. . 3
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2 | bj-sbimedh.1 |
. . . 4
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3 | bj-sbimedh.3 |
. . . . 5
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4 | 3 | impd 252 |
. . . 4
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5 | 2, 4 | eximdh 1591 |
. . 3
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6 | 1, 5 | syl5 32 |
. 2
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7 | bj-sbimedh.2 |
. . 3
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8 | 2, 7 | 19.9hd 1641 |
. 2
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9 | 6, 8 | syld 45 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-sb 1737 |
This theorem is referenced by: bj-sbimeh 13150 |
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